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Showing 1 to 20 of 23 for “"Algebraic expressions"”.
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The impact of activity-based instruction on Grade 11 learners’ performance in algebraic expressions: A case of Onankali Circuit, Oshikoto region
… challenges, particularly in learners' grasp of Algebraic Expressions, as evidenced by consistent underperformance in national examinations. This study investigated the potential of Activity-Based Instruction (ABI) to enhance Grade 11 learners' proficiency in Algebraic Expressions, aiming to …
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A study of the computations done by grade 9 learners in a Western Cape high school when simplifying algebraic expressions involving the negative symbol
… computations that learners do when simplifying algebraic expressions are multiple and diverse, with some determined by reasoning aligned with mathematics whilst others rely on idiosyncratic constructs like mnemonics or solution templates. Research in mathematics education highlights symbol sense …
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A study of the phenomena of conjoining terms and related aberrant transformations in the simplification of algebraic expressions by Grade 8 learners of two secondary schools in the Western Cape
… test in which they were required to simplify ten algebraic expressions, all of which were sums. Eight students were selected for interviews on the basis that they had either displayed aberrant conjoining in their responses or that they had answered most items correctly. The computational analysis …
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A Tool for prototyping concurrent design specifications
… of complex concurrent systems by using algebraic expressions to describe the architectural and behavioral aspects. We introduce ACS (Algebra of Communicating Systems), a process algebraic specification language which combines the simple syntax of CCS (Calculus of Communicating Systems) …
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Fundamentals and applications of order dependencies
… queries often involve SQL functions and algebraic expressions. There can be clear semantic relationships between a column's values and the values of a function over that column. A common property is monotonicity: as the column's values ascend, so do the function's values (or the other …
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Mechanics of polydisperse suspensions
… the dilute theory of Batchelor (1982). Simple algebraic expressions are given which well correlate the numerical results.
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Prediction and analysis of wing flutter at transonic speeds.
… solutions of this airfoil system are shown to be algebraically homomorphic in that solutions about different elastic axes can be found by mapping them to those about the mid-chord. Algebraic expressions for the flutter speed and frequency are thus obtained. For the prediction of flutter of a wing …
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Deriving a Closed-Form Solution for Over-Actuated Surface Vessels with Actuator Constraints
… their nearest limits. Within each class, concise algebraic expressions yield the remaining control commands, and a scalar factor rescales end-point solutions to any interior point. A deterministic decision tree, synthesized from twenty-six boundary inequalities, selects the unique feasible class …
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An Abstract Algebraic Theory of L-Fuzzy Relations for Relational Databases
… of LFSQL. However, it requires an abstract algebraic theory which can be used to prove all the properties of, and operations on, L-fuzzy relations. In our study, we show that the theory of arrow categories forms a suitable framework for that. Therefore, we define the semantics of LFSQL in …
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Integration of Computer Algebra Systems and Machine Learning in the Authoring of the SANYMS Intelligent Tutoring System
… a process to generalize equations and other algebraic expressions, we incorporate a small set of expert-solved equations into a directed graph to provide next-step hints for a wide variety of equations and solution paths that SANYMS has never seen. The final SANYMS ITS combines the …
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New perspectives on ab initio calculation and physical insights gained through linkage to continuum theories
… Methodologically, we present a new matrix-based, algebraic formalism for ab initio calculations which modularizes and isolates the roles played by the basis set, the energy functional, the algorithm used to achieve self-consistency, and the computational kernels. Development and implementation of …
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A Classification Approach for Automated Reasoning Systems--A Case Study in Graph Theory
… Constructivity (LRC). LRC defines classes by an algebraic formula supported by background knowledge of graph types. We use subsumption checking on decomposed algebraic expressions of graph classes as a major proof method. The search is guided by case-split-based inferencing. Using the approach GC …
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AMoEBA: the adaptive modeling by evolving blocks algorithm
… For the first problem, AMoEBA used approximated algebraic expressions to match known profiles representing a steady-state conduction heat transfer problem and the fully-developed laminar flow through a pipe. To further illustrate the versatility of the algorithm, an inverse engineering problem …
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On the formulation and the calculation of the harmonic contributions to the Debye-Waller factor in metals (sodium)
The algebraic expressions for the anharmonic contributions to the Debye-Waller factor up to 0(A ) and 0 L% ) £ where ^ is the scattering wave-vector] have been derived in a form suitable for cubic metals with small ion cores where the interatomic potential extends to many neighbours. This has been …
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Thermocapillary Convection During Laser Surface Heating (Surface Tension)
… of all the scalings in the respective ranges. Algebraic expressions for the prediction of various physical quantities such as maximum temperature, velocity, shear stress, and temperature gradient are presented. The results of the stagnation flow analysis are compared with the numerical …
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Specification and analysis of timing properties in real-time systems
… can be expressed as arithmetical relations on algebraic expressions involving the event occurrences. To verify the property with respect to the system specification, we prove that the property is a theorem derivable from the specification. Relationship of RTL to Presburger Arithmetic is …
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Modeling Hydrodynamic Stability of Incline-Liquid Airblast Nozzle for Gas Turbine Combustion
… of successive solution of ODE’s are lengthy algebraic expressions for the solution to the stability equation.</p> <p>A higher order analytical model, is proposed to predict the onset of instability of liquid sheet at inclined angles relative to the impinging air. In this approach, the …
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High-school students' productive struggles during the simplification of trigonometrical expressions and the proving of trigonometrical identities
… struggles in the simplification of trigonometric expressions and proving of trigonometric identities. Although studies have been published on the teaching and learning of trigonometrical concepts in schools and teacher education, there is a lack of published research into students' productive …
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